Data

Presented are two major data tables in the orchard scaling project (2012-2013) conducted at Kaysville Research Farm, USU. Five 24 year old tart cherry (Prunus cerasus Montmorency, P. mahaleb) from one block and 19 8 year-old apples (Malus domestica “Golden Delicious”) from one block with various rootstocks were sampled. BranchSegments.csv (branch_size) contains the size and orientation data for all trees sampled at a branch-level. TreeSummary.csv (tree_sum) contains the size and orientation data for all trees sampled at a tree-level. Listing of fields represented in the data are located at the end of this dococument for both data files. Data is analysed using Standardized Major Axis (SMA; aka reduced major axis) with R-package ‘smatr’.

Frequency Distributions

Length Histograms

Histograms for segment length, path length, and subtree length levels. Sample size is listed next to title. There are 5 cherry and 19 apple individuals represented. The Biggest Apple is the largest rootstock (‘PiAu’) with 3 individuals represented. The Smallest Apple is the smallest rootstock (‘B9’) with 4 individuals represented.

Segment Length

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Path Length (includes terminal twigs when possible)

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Subtree Length (includes terminal twigs when possible)

Subtree is the diameter of a given branch segment, and the total length, total surface area, and total volume of all branch segments distal to that branch segment.

plot of chunk subtreelength_hist

Diameter Histograms

Histograms for diameter at an individual level. Sample size is listed next to title. There are 5 cherry and 19 apple individuals represented. The Biggest Apple is the largest rootstock (‘PiAu’) with 3 individuals represented. The Smallest Apple is the smallest rootstock (‘B9’) with 4 individuals represented.
plot of chunk diameter_hist

Mass Histograms

Histograms for segment mass, total segment mass, and total subtree mass. Sample size is listed next to title. There are 5 cherry and 19 apple individuals represented. The Biggest Apple is the largest rootstock (‘PiAu’) with 3 individuals represented. The Smallest Apple is the smallest rootstock (‘B9’) with 4 individuals represented.

Segment Mass

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Total Segment Mass (subtree w/o terminal twigs)

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Subtree Mass (add twig mass to ‘Total Segment Mass’)

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Daughter/Parent Branch Area Ratio Histograms

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Scaling Relationships

Length ~ Radius

Expected Exponent: Flow Similarity = 2 (peripheral / fruiting branches); Biomechanical = 2/3 (basal / scaffold branches)

Tree Level [Estimated: 0.74 +/- 0.12, R2 = 0.849]

plot of chunk Diameter_Height_output

Segment Length (Raw Data) [Estimated: 0.90 +/- 0.06, R2 = 0.005]

plot of chunk diameter_length_output

Path Length [Estimated: 0.86 +/- 0.04, R2 = 0.448]

plot of chunk diameter_path_output

Total Subtree Length [Estimated: 1.72 +/- 0.10, R2 = 0.230]

plot of chunk diameter_totlength_output

Surface Area ~ Volume

Segment Level [Estimated: 0.62 +/- 0.01, R2 = 0.918]

plot of chunk area_volume_output

Subtree Level [Estimated: 0.72 +/- 0.01, R2 = 0.969]

plot of chunk totarea_totvolume_output

Diameter ~ No of terminal branches

[Estimated: 0.69 +/- 0.03, R2 = 0.429

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Surface Area ~ No of terminal branches

[Estimated: 1.29 +/- 0.05, R2 = 0.669]

plot of chunk totarea_tottwigs_output

Wood Density (Mass ~ Volume)

Segment Level [Estimated: 0.95 +/- 0.01, R2 = 0.962]

plot of chunk mass_volume_output

Subtree Level [Estimated: 0.95 +/- 0.01, R2 = 0.977]

plot of chunk totmass_totvolume_output

Mass vs. Diameter

Tree Level [Estimated: 2.49 +/- 0.18, R2 = 0.974]

plot of chunk Diameter_Mass_output

Branch Level [Estimated 2.48 +/- 0.05, R2 = 0.905]

plot of chunk diameter_mass_output

Length vs. Mass

Tree Level [Estimated: 0.30 +/- 0.05, R2 = 0.849]

plot of chunk Height_Mass_output

Branch Level [Estimated: 0.35 +/- 0.1, R2 = 0.632]

plot of chunk length_mass_output

Diameter Ratio

[Estimate: 0.68 +/- 0.03, R2 = 0.569]

plot of chunk diameterratio_output